Answer:
great!
Step-by-step explanation:
how about you?
17.6 is your answer
Hope this helps!!
The slope-point form of a line:
![y-y_0=m(x-x_0)](https://tex.z-dn.net/?f=y-y_0%3Dm%28x-x_0%29)
We have
![m=\dfrac{3}{4}\\\\(4,\ 1)\to x_0=4,\ y_0=1](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B3%7D%7B4%7D%5C%5C%5C%5C%284%2C%5C%201%29%5Cto%20x_0%3D4%2C%5C%20y_0%3D1)
Substitute:
![y-1=\dfrac{3}{4}(x-4)](https://tex.z-dn.net/?f=y-1%3D%5Cdfrac%7B3%7D%7B4%7D%28x-4%29)
The slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Solve for y:
![y-1=\dfrac{3}{4}(x-4)\qquad|\text{use distributive property}\\\\y-1=\dfrac{3}{4}x-3\qquad|\text{add 1 to both sides}\\\\y=\dfrac{3}{4}x-2](https://tex.z-dn.net/?f=y-1%3D%5Cdfrac%7B3%7D%7B4%7D%28x-4%29%5Cqquad%7C%5Ctext%7Buse%20distributive%20property%7D%5C%5C%5C%5Cy-1%3D%5Cdfrac%7B3%7D%7B4%7Dx-3%5Cqquad%7C%5Ctext%7Badd%201%20to%20both%20sides%7D%5C%5C%5C%5Cy%3D%5Cdfrac%7B3%7D%7B4%7Dx-2)
Answer: D.
Answer:
6) C
![-2r\left(8r+5\right):\quad -16r^2-10r\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\=-2r\cdot \:8r+\left(-2r\right)\cdot \:5\\=-2\cdot \:8rr-2\cdot \:5r\\\mathrm{Simplify}\:-2\cdot \:8rr-2\cdot \:5r:\quad -16r^2-10r](https://tex.z-dn.net/?f=-2r%5Cleft%288r%2B5%5Cright%29%3A%5Cquad%20-16r%5E2-10r%5C%5C%5Cmathrm%7BApply%5C%3Athe%5C%3Adistributive%5C%3Alaw%7D%3A%5Cquad%20%5C%3Aa%5Cleft%28b%2Bc%5Cright%29%3Dab%2Bac%5C%5C%3D-2r%5Ccdot%20%5C%3A8r%2B%5Cleft%28-2r%5Cright%29%5Ccdot%20%5C%3A5%5C%5C%3D-2%5Ccdot%20%5C%3A8rr-2%5Ccdot%20%5C%3A5r%5C%5C%5Cmathrm%7BSimplify%7D%5C%3A-2%5Ccdot%20%5C%3A8rr-2%5Ccdot%20%5C%3A5r%3A%5Cquad%20-16r%5E2-10r)
<em>7) </em>B
![4a\left(a^2+7a+4\right):\quad 4a^3+28a^2+16a](https://tex.z-dn.net/?f=4a%5Cleft%28a%5E2%2B7a%2B4%5Cright%29%3A%5Cquad%204a%5E3%2B28a%5E2%2B16a)
![\mathrm{Distribute\:parentheses}\\=4aa^2+4a\cdot \:7a+4a\cdot \:4\\=4a^2a+4\cdot \:7aa+4\cdot \:4a\\\mathrm{Simplify}\:4a^2a+4\cdot \:7aa+4\cdot \:4a:\quad 4a^3+28a^2+16a](https://tex.z-dn.net/?f=%5Cmathrm%7BDistribute%5C%3Aparentheses%7D%5C%5C%3D4aa%5E2%2B4a%5Ccdot%20%5C%3A7a%2B4a%5Ccdot%20%5C%3A4%5C%5C%3D4a%5E2a%2B4%5Ccdot%20%5C%3A7aa%2B4%5Ccdot%20%5C%3A4a%5C%5C%5Cmathrm%7BSimplify%7D%5C%3A4a%5E2a%2B4%5Ccdot%20%5C%3A7aa%2B4%5Ccdot%20%5C%3A4a%3A%5Cquad%204a%5E3%2B28a%5E2%2B16a)
<em>Hope this helps and have a great day!!!</em>
<em>
</em>
<u>Answer:</u>
The total amount that Eunice paid is $1027.2
<u>Explanation:
</u>
Given the price of the couch is $1200
She was charged a sales tax of 7% and got a discount of 20% because the store was having a sale
Price after sales tax and discount can be calculated
by the formula = ![$1200 \times\left(1+\frac{7}{100}\right) \times\left(1-\frac{20}{100}\right)$](https://tex.z-dn.net/?f=%241200%20%5Ctimes%5Cleft%281%2B%5Cfrac%7B7%7D%7B100%7D%5Cright%29%20%5Ctimes%5Cleft%281-%5Cfrac%7B20%7D%7B100%7D%5Cright%29%24)
Solving,
![$1200 \times\left(\frac{107}{100}\right) \times\left(\frac{80}{100}\right)$](https://tex.z-dn.net/?f=%241200%20%5Ctimes%5Cleft%28%5Cfrac%7B107%7D%7B100%7D%5Cright%29%20%5Ctimes%5Cleft%28%5Cfrac%7B80%7D%7B100%7D%5Cright%29%24)
= $1027.2
Therefore, Eunice paid a final price of $1027.2 after tax and discount.